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98855328 = 253111319379
BaseRepresentation
bin1011110010001…
…10100110100000
320220000101000110
411321012212200
5200301332303
613450451320
72310153645
oct571064640
9226011013
1098855328
115088a520
1229133b40
13176327a0
14d1b3dcc
158a2a703
hex5e469a0

98855328 has 192 divisors, whose sum is σ = 321753600. Its totient is φ = 26127360.

The previous prime is 98855327. The next prime is 98855333. The reversal of 98855328 is 82355889.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (98855327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260643 + ... + 261021.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 298855328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98855328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

98855328 is an abundant number, since it is smaller than the sum of its proper divisors (222898272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98855328 is a wasteful number, since it uses less digits than its factorization.

98855328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 427 counting only the distinct ones).

The product of its digits is 691200, while the sum is 48.

The square root of 98855328 is about 9942.6016715948. The cubic root of 98855328 is about 462.3810502964.

The spelling of 98855328 in words is "ninety-eight million, eight hundred fifty-five thousand, three hundred twenty-eight".